00:01
Hey everyone, today we're solving problem number four from chapter 10 of the text with, which deals with a prisoner's dilemma situation for a duopoly, where firm a is the larger one, firm b is the smaller one, and you're given these four scenarios.
00:25
So typically in a duopoly, when you have options to do less output or sell more output, selling more output is actually going to be more profitable for both firms.
00:35
So in firm a's scenario, selling more output is more profitable because they could make $1 ,050 and, you know, become super rich while b only gets 50.
00:48
But even if not, b only gets 20 and they make 500, so that's not a terrible tradeoff.
00:53
In comparison, if they colluded, then b would get a lot more money, whereas a, especially with this particular scenario, would get less money.
01:03
So that doesn't make any sense.
01:04
So for firm a, it's more optimal to cheat by selling more output.
01:08
And then for firm b, if we examine firm b, actually, i'll keep what i just did for firm a.
01:13
So blue is firm a, and then i'll do green with firm b.
01:17
So in firm b's scenario, it is also more optimal to cheat by selling more output...